Atkin-Lehner |
3+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
102921h |
Isogeny class |
Conductor |
102921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
117429203290581 = 310 · 74 · 134 · 29 |
Discriminant |
Eigenvalues |
0 3+ -1 7- -2 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12731,188333] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:850:1] |
Generators of the group modulo torsion |
j |
7990463463424/4111522821 |
j-invariant |
L |
3.4342634832442 |
L(r)(E,1)/r! |
Ω |
0.52032419919646 |
Real period |
R |
0.8250297370651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999569948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102921d1 |
Quadratic twists by: 13 |